Loading presentation...

Present Remotely

Send the link below via email or IM


Present to your audience

Start remote presentation

  • Invited audience members will follow you as you navigate and present
  • People invited to a presentation do not need a Prezi account
  • This link expires 10 minutes after you close the presentation
  • A maximum of 30 users can follow your presentation
  • Learn more about this feature in our knowledge base article

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.


What helps an innovation to diffuse?

No description

Janusz Szwabiński

on 26 May 2017

Comments (0)

Please log in to add your comment.

Report abuse

Transcript of What helps an innovation to diffuse?

Katarzyna Sznajd-Weron
Our interdysciplinary team
Process, in which
an innovation is communicated
through certain channels over time among the members of a social system
Why diffusion of innovation?
What helps an innovation to diffuse?
Janusz Szwabiński, University of Wrocław

Ideas, products, processes or technologies that are perceived as
by an individual or other unit of adoption
What is an innovation?
Karol Suszczyński
Piotr Przybyła
K. Sznajd-Weron, J. Szwabiński, R. Weron, T. Weron (2014)
Rewiring the network. What helps an innovation to diffuse?
J. Stat. Mech. 2014 (3) 3007

P. Przybyła, K. Sznajd-Weron, R. Weron (2014) Diffusion of innovation within an agent-based model: Spinsons, independence and advertising, Advances in Complex Systems, in print

P. Nyczka, K. Sznajd-Weron (2013) Anticonformity or independence? – Insights from statistical physics, Journal of Statistical Physics 151, 174-202
Further reading
Meet the spinsons!
Spin + Person = Spinson
Note on Watts-Strogatz model
Piotr Nyczka
Rafał Weron
Anna Kowalska-Pyzalska
Katarzyna Maciejowska
Janusz Szwabiński

Results - time evolution
diffusion processes replicate the S-shaped curve of cumulated adopters

topology maters

clustering more important than path length

critical value of external field and critical exponent v depend on topology
Topology: Watts-Strogatz model
Social influence
: at each time step a spinson takes a purely random opinion with probability
, independently of the neighbors and product features
: if a spinson is not independent and a group of its neighbors shares an opinion, the spinson will accept it (Sznajd model)
: a spinson will become adopted with probability
(the strengh of an external field), if it is not independent and not under influence of a group of neighbors
Why diffusion of innovation?

Results - role of topology
Results - role of the mean degree
Results - finite size scaling
more important
than path length!!!
The higher the degree the stronger the
influence of the neighbors
Not adopted
Initial conditions
The critical exponent
is not universal and
depends on the network topology
construct a regular ring lattice:
nodes each connected to

for every node take every edge and
rewire it
(i.e. replace it by an edge to a randomly chosen node)
with probability
Diffusion of hybrid corn in Iowa
(Ryan and Gross, 1943)
The percentage of household penetration for three products in the U.S. (Karl Hartig, 1998)
Full transcript